Use the additive inverse to find −24 4/5−6 7/10.(1 point)
Responses
31 1/2
31 Start Fraction 1 over 2 End Fraction
−31 1/10
negative 31 Start Fraction 1 over 10 End Fraction
−18 1/10
negative 18 Start Fraction 1 over 10 End Fraction
−31 1/2
negative 31 Start Fraction 1 over 2 End Fraction
To find the additive inverse of a number, we need to change its sign.
First, let's find the additive inverse of -24 4/5.
The additive inverse of -24 is 24, and the additive inverse of 4/5 is -4/5.
So, the additive inverse of -24 4/5 is 24 4/5.
Now, we add the additive inverse to -6 7/10.
-6 7/10 + 24 4/5
= -6 + 24 + 7/10 + 4/5
= 18 + 7/10 + 4/5
= 18 + 35/50 + 40/50
= 18 + 75/50
= 18 + 1 25/50
= 18 + 1/2
= 18 1/2
Therefore, the answer is 18 1/2.
So, the correct response is:
31 Start Fraction 1 over 2 End Fraction
Determine the distance between 6.5 and −7.2 on a number line.(1 point)
Responses
0.7
0.7
−0.7
negative 0.7
−13.7
negative 13.7
13.7
To find the distance between two numbers on a number line, we take the absolute value of their difference.
The absolute value of the difference between 6.5 and -7.2 is |6.5 - (-7.2)|.
|6.5 - (-7.2)| = |6.5 + 7.2| = |13.7|.
The absolute value of 13.7 is 13.7.
Thus, the distance between 6.5 and -7.2 on the number line is 13.7.
Therefore, the correct response is:
13.7
Solve the mathematical problem involving absolute value.
21÷3+4+|2−3|
(1 point)
Responses
4
4
6
6
10
10
12
To solve the given mathematical problem, we need to follow the order of operations - parentheses, exponents, multiplication/division (from left to right), and addition/subtraction (from left to right).
First, let's calculate the absolute value of 2-3, which is |2-3| = |-1| = 1.
Now, let's substitute this value back into the original expression:
21 ÷ 3 + 4 + 1
Next, let's perform the division:
7 + 4 + 1
Finally, let's add the numbers together:
7 + 4 + 1 = 12
Therefore, the correct response is:
12
Solve the mathematical problem involving absolute value.
|(1/2)(−8)|+|10−4|
(1 point)
Responses
10
10
−2
negative 2
2
2
−10
To solve the given mathematical problem, we need to calculate the absolute value of each expression and then add them together.
First, let's calculate the absolute value of (1/2)(-8):
|(1/2)(-8)| = |(-4)| = 4
Next, let's calculate the absolute value of 10-4:
|10-4| = |6| = 6
Now, let's substitute these values back into the original expression:
4 + 6
Finally, let's add the numbers together:
4 + 6 = 10
Therefore, the correct response is:
10